Simplify each mathematical expression.
- 6
1
2 (
1
4 )
(^2) 2. 9 ^1
3 (
1
2 )
(^3) 3. ^5
6
1
6 0.5
- ^49 ^19 ^23 5. ^18 0.5 16 6. 1 ^23 6 (^16 )^2
Simplify. Check with a calculator.
- (1^14 4)(^13 )^2 8. (8 1 ^13 ) 62 9. (1^23 1 ^12 ) 5
- (10 1 ^23 )^78 11. (^23 )^2 (1^12 1 ^34 ) 12. 1 ^13 (2^12 1 ^14 )^2
Simplify using the Distributive Property.
- ^18 (8 181 ) 14. ^16 (12^35 ) 15.^13 (15^38 )
- ^34 (4^13 ) 17. ^89 (18^14 ) 18.^37 (14^19 )
Distributive Property Over Subtraction
Distributive Property Over Subtractiona(bc)(ab)(ac)
^4
5
(10^5
8
)(^4
5
10)(^4
5
^5
8
)
^4
5
9 ^3
8
(^4
5
^1
1
(^0) )( 4
5
^5
8
)
115 2 1 1
^4
5
^7
8
(^5)
(
4
5
^1
1
(^0)
)(
4
5
^5
8
)
1 21 1 2
^1
2
(^5)
8
1
2
7
1
2
7 ^1
2
Use compatible numbers to estimate each product.
19.^56 of 43 ^56 of 42 ^16 ^412 7, so ^56 of 42 5 7 35
20.^23 of 25 21. ^34 of 198 22. ^18 of $76 23. ^13 of $3.95
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